On the absence of McShane-type identities for the outer space
| dc.creator | Kapovich, Ilya | |
| dc.creator | Rivin, Igor | |
| dc.date | 2006-02-14 | |
| dc.date.accessioned | 2026-07-07T07:03:24Z | |
| dc.date.available | 2026-07-07T07:03:24Z | |
| dc.description | A remarkable result of McShane states that for a punctured torus with a complete finite volume hyperbolic metric we have \[ \sum_γ \frac{1}{e^{\ell(γ)}+1}={1/2} \] where $γ$ varies over the homotopy classes of essential simple closed curves and $\ell(γ)$ is the length of the geodesic representative of $γ$. We prove that there is no reasonable analogue of McShane's identity for the Culler-Vogtmann outer space of a free group. | |
| dc.identifier | https://arxiv.org/abs/math/0602291 | |
| dc.identifier | http://arxiv.org/abs/math/0602291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108958 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F65 | |
| dc.title | On the absence of McShane-type identities for the outer space | |
| dc.type | text |